Geometry

Question Analysis

The main focus is using the ratio of radii of concentric circles and the area of the ring to find the outer radius. We'll use the ring - area formula and the given ratio to set up an equation and solve for the unknown.

 

Key Concept Explanation

The area of a ring (annulus) is , where  is the outer radius and  is the inner radius. When the radii are in a ratio, we can represent them as multiples of a common variable to simplify calculations.

 

Step - by - Step Solution

1. Let the outer radius  and the inner radius .

2. Substitute into the ring - area formula: .

3. Since , set up the equation

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